Finding the Third Proportional to 31,684 and 69,416

Step by Step Solution

1. Step 1: Write the proportion equation
   31,684 : 69,416 = 69,416 : x
2. Step 2: Convert to fraction form
   31,684/69,416 = 69,416/x
3. Step 3: Cross multiply
   31,684x = 69,416 × 69,416
4. Step 4: Simplify right side
   31,684x = 4,818,581,056
5. Step 5: Solve for x
   x = 4,818,581,056/31,684
6. Step 6: Final answer
   x = 152,082.47